4 citations · 12 across the 15 of their papers we have counts for
4 papers · 1 filter
A notion of weak convergence in metric spaces
Giuseppe Devillanova, Sergio Solimini, Cyril Tintarev
We discuss some basic properties of polar convergence in metric spaces. Polar convergence is closely connected with the notion of Delta-convergence of T.C. Lim known for several ye…
Defect of compactness in spaces of bounded variation
Adimurthi, Cyril Tintarev
Defect of compactness for non-compact imbeddings of Banach spaces can be expressed in the form of a profile decomposition. This paper extends the profile decomposition for Sobolev…
On the Brezis-Lieb Lemma without pointwise convergence
Adimurthi, Cyril Tintarev
Brezis-Lieb lemma is a refinement of Fatou lemma providing an evaluation of the gap between the integral for a sequence and the integral for its pointwise limit. This note studies…
A nodal solution of the scalar field equation at the second minimax level
Kanishka Perera, Cyril Tintarev
We prove the existence of a sign-changing eigenfunction at the second minimax level of the eigenvalue problem for the scalar field equation under a slow decay condition on the pote…